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1、PHYSICALREVIEWB81,1721052010PseudoproperferroelectricityinthinfilmsA.Cano1,*andA.P.Levanyuk1,21EuropeanSynchrotronRadiationFacility,6rueJulesHorowitz,BP220,38043Grenoble,France2DepartamentodeFísicadelaMateriaCondensada,C-III,UniversidadAutónomadeMadrid,E-2804
2、9Madrid,SpainReceived27April2010;published28May2010WestudyferroelectricityinthinÞlmsofpseudoproperferroelectricssuchastheso-calledspiralmultiferro-ics.WeÞndthatthistypeofferroelectricitystandsbetteragainstdepolarizingÞeldsthanconventionalone.Itssingle-domain
3、statecanbeeasilypreservedbymetallicelectrodeseveninultrathinÞlms.Infact,single-domainferroelectrictycanbegeneratedasametastablestateintheabsenceofelectrodes.WealsoÞndaregimeofsmallthicknesswhereunscreenedÞlmsdevelopunusualmulti-domainstateswhosepropertiesarese
4、nsitivetononelectrostaticboundaryconditions.DOI:10.1103/PhysRevB.81.172105PACSnumbers:77.80.eI.INTRODUCTIONscreening.Ontheotherhand,intheabsenceofelectrodessingle-domainferroelectricitycanbegeneratedasameta-Thediscoveryofanewtypeofferroelectricitycausedbyst
5、ablestateinstrikingcontrasttoconventionalferroelectrics.acycloidalorderingofmagneticmoments1isoneofthekeyThisispossiblebecausethepseudopropermechanismdoeseventsthathastriggeredthecurrentinterestinmultiferroics.notrequirethevanishingofthepolarizationstiffness.T
6、here-Thistypeofmultiferroicityisrealizedintherare-earthman-fore,despitethedepolarizingÞeldincreasesthisstiffness,theganitesRMnO3R=Gd,Tb,Dyandhasbeensuccessfullyvirtualsingle-domainferroelectricinstabilityremainssufÞ-explainedonthebasisoftheinverseDzyaloshins
7、kii-Moriyacientlycloseintemperature.Inaddition,thenewlengthscaleinteraction.2,3Fromthephenomenologicalpointofview,opensasmall-thicknessregimeinwhichnonelectrostaticthesesystemscanbeconsideredasnewexamplesofboundaryconditionsbecomeimportantformulti-domainfer-p
8、seudoproperferroelectrics4inwhichtheelectricpolariza-roelectricity.Thisisevidencedintheperiodofthestatesthattionisbilinearlycoupledwiththeprimaryorderparametercausetheinstability
